Question

if alpha and beta are the zeroes of the polynomials 4x^2-6x+1. find the value of 1by alpha+1/beta

Answer 1

Solution:

Given that @ and ß are the zeros of the given polynomial.

f(x)=4x^2-6x+1

Here,

a=4,b=-6 and c=1

We need to find the relationship between zeros and the equation,

@+ß= -(-6/4)=3/2

@ß=1/4

Now,

1/@+1/ß

=@+ß/@ß

=3/2/1/4

=3/2×4

=6

The answer is 6.

P.s. I am using @ and ß instead of alpha and beta respectively.